Lesson Plan | Technical Methodology | Trapezoid Area

Objectives

Duration: 15 - 20 minutes

The purpose of this stage is to introduce students to the concept of the area of a trapezoid, emphasizing the practical application of this knowledge in real situations. Developing these skills is crucial for students to solve mathematical problems with confidence and see the relevance of mathematical concepts in the job market and daily life.

Main Objectives

1. Understand the formula for calculating the area of a trapezoid.

2. Apply the calculation of the area of a trapezoid in practical problems, such as plots of land or rooms with this shape.

Side Objectives

1. Develop problem-solving skills in mathematics.
2. Recognize the importance of calculating the area of a trapezoid in everyday contexts and in the job market.

Introduction

Duration: (15 - 20 minutes)

The purpose of this stage is to introduce students to the concept of the area of a trapezoid, emphasizing the practical application of this knowledge in real situations. Developing these skills is crucial for students to solve mathematical problems with confidence and see the relevance of mathematical concepts in the job market and daily life.

Contextualization

Imagine you are an architect and need to calculate the area of a trapezoidal plot of land to build a new building. Or think of a soccer field that does not have a perfect rectangular shape but is trapezoidal. Understanding how to calculate the area of a trapezoid is fundamental to solve these types of practical problems, which are common in various professions, including architecture, engineering, and design.

Curiosities and Market Connection

 Curiosities: The trapezoid is a geometric figure that appears in many everyday and professional situations. For example, in construction, plots and lots often have irregular shapes that need to be measured precisely for planning and construction. In interior design, furniture and decorations can have trapezoidal shapes to better fit spaces.  Connection with the Market: Professionals such as architects, engineers, and surveyors often use the calculation of the area of a trapezoid to design and assess land and structures. Knowing how to calculate the area accurately can make the difference between a successful project and a failure.

Initial Activity

 Initial Activity: Present students with an image of a trapezoidal piece of land and ask: How would you calculate the area of this land? Then, show a short video (3-5 minutes) that demonstrates the practical application of calculating the area of a trapezoid in construction projects.

Development

Duration: (35 - 40 minutes)

The purpose of this stage is to consolidate students' understanding of the calculation of the area of a trapezoid through practical and collaborative activities, promote reflection on the application of this knowledge in real contexts, and evaluate comprehension of the concepts through fixation exercises.

Covered Topics

1. Definition and properties of a trapezoid
2. Formula for calculating the area of a trapezoid
3. Practical applications of the calculation of the area of a trapezoid
4. Solving problems involving the area of a trapezoid

Reflections on the Theme

Guide students to reflect on how the knowledge of the area formula of a trapezoid can be applied in different everyday situations and in various professions. Ask how this can facilitate planning and execution of real projects, such as construction, interior design, and even in calculations of agricultural land.

Mini Challenge

Building a Trapezoidal Lot

Students will be divided into groups, and each group will receive materials such as cardboard, ruler, scissors, and glue. They will have to build a model of a trapezoidal lot, measure its dimensions, and calculate the area.

Instructions

1. Divide the class into groups of 4 to 5 students.
2. Distribute the necessary materials to each group: cardboard, ruler, scissors, and glue.
3. Explain that each group should draw and cut out a trapezoid from the cardboard, with specific dimensions that they themselves must define.
4. After building the model, each group must measure the larger base (B), the smaller base (b), and the height (h) of the trapezoid.
5. Using the formula A = [(B + b) * h] / 2, each group must calculate the area of the trapezoid.
6. Ask each group to record their measurements and calculations on a piece of paper.
7. Finally, each group should present their model and explain the process of calculating the area.

Objective: Develop practical measurement skills and apply the formula for calculating the area of a trapezoid, promoting group collaboration and the application of mathematical concepts in a practical activity.

Duration: (30 - 35 minutes)

Evaluation Exercises

1. Calculate the area of a trapezoid with bases measuring 8 cm and 5 cm and a height of 6 cm.
2. A soccer field is shaped like a trapezoid with bases of 100 m and 75 m and a height of 50 m. What is the area of the field?
3. A trapezoidal piece of land has the following measurements: larger base = 20 m, smaller base = 15 m, and height = 10 m. Calculate the area of this land.
4. Draw a trapezoid and exchange it with a classmate. Measure the dimensions of the trapeoid drawn by them and calculate the area.

Conclusion

Duration: (10 - 15 minutes)

The purpose of this stage is to consolidate students' learning, allowing them to reflect on what was learned, discuss their experiences, and understand the practical relevance of acquired knowledge. The conclusion serves to connect theory to practice, reinforcing the application of mathematical concepts in real-world situations and the job market.

Discussion

 Discussion: Facilitate a conversation with students about how the class connected theory, practice, and applications of the area formula of a trapezoid. Ask students to share their reflections on the mini-challenge and how this activity helped them better understand the concept. Encourage them to discuss the challenges they faced and how they overcame them. Ask how they envision applying this knowledge in everyday situations or in their future careers.

Summary

 Summary: Recap the main content presented during the class, highlighting the definition of trapezoids, the formula for calculating area, and its practical applications. Reinforce the importance of understanding and applying this formula in different contexts, such as in construction, interior design, and agricultural land calculations.

Closing

 Closing: Explain how today's class is relevant to daily life and the job market. Reinforce that mathematical knowledge, especially in geometry, is essential for various professions and can facilitate planning and execution of real projects. Thank the students for their active participation and effort during the activities.